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Simplifying 9(3n + 5) = 7(7n + 2) + 9 Reorder the terms: 9(5 + 3n) = 7(7n + 2) + 9 (5 * 9 + 3n * 9) = 7(7n + 2) + 9 (45 + 27n) = 7(7n + 2) + 9 Reorder the terms: 45 + 27n = 7(2 + 7n) + 9 45 + 27n = (2 * 7 + 7n * 7) + 9 45 + 27n = (14 + 49n) + 9 Reorder the terms: 45 + 27n = 14 + 9 + 49n Combine like terms: 14 + 9 = 23 45 + 27n = 23 + 49n Solving 45 + 27n = 23 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 45 + 27n + -49n = 23 + 49n + -49n Combine like terms: 27n + -49n = -22n 45 + -22n = 23 + 49n + -49n Combine like terms: 49n + -49n = 0 45 + -22n = 23 + 0 45 + -22n = 23 Add '-45' to each side of the equation. 45 + -45 + -22n = 23 + -45 Combine like terms: 45 + -45 = 0 0 + -22n = 23 + -45 -22n = 23 + -45 Combine like terms: 23 + -45 = -22 -22n = -22 Divide each side by '-22'. n = 1 Simplifying n = 1
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